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3972123680 = 25573546539
BaseRepresentation
bin1110110011000001…
…1100110000100000
3101020211020210022212
43230300130300200
531113330424210
61454052221252
7200301331340
oct35460346040
911224223285
103972123680
111759184348
1292a30a828
134b3c11255
14299778d20
15183aba805
hexecc1cc20

3972123680 has 48 divisors (see below), whose sum is σ = 10724736960. Its totient is φ = 1361870592.

The previous prime is 3972123677. The next prime is 3972123703. The reversal of 3972123680 is 863212793.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1772150 + ... + 1774389.

It is an arithmetic number, because the mean of its divisors is an integer number (223432020).

Almost surely, 23972123680 is an apocalyptic number.

It is an amenable number.

3972123680 is an abundant number, since it is smaller than the sum of its proper divisors (6752613280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3972123680 is a wasteful number, since it uses less digits than its factorization.

3972123680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546561 (or 3546553 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 3972123680 is about 63024.7862352583. The cubic root of 3972123680 is about 1583.7048773375.

The spelling of 3972123680 in words is "three billion, nine hundred seventy-two million, one hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 3546539 7093078 14186156 17732695 24825773 28372312 35465390 49651546 56744624 70930780 99303092 113489248 124128865 141861560 198606184 248257730 283723120 397212368 496515460 567446240 794424736 993030920 1986061840 3972123680